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Early algebra approach built on four components: functional approach, multiple representations, letters as variables, and rich contexts

Design · All designs
Evidence · 1 claim (1 for) · 1 study (1 causal), q2 · 0 of 1 report an effect size · 1 claim rests on one study

Description

The article's early algebra approach takes functions as the central object of algebra, expressed through multiple representations. The authors state their approach "include s four m ain com pone nts: (1)focus on a functional approach to alge bra; (2)focus on m ultiple re pre se ntations; (3)focus on the use oflette rs to re pre se nt variable s; and (4)focus on e xploring proble m s in a dive rsity of e xtra-m athe m atical conte xts." Arithmetic operations are viewed as functions, algebraic notation is introduced gradually, and students engage in cross-representational activities across tables, graphs, natural language, and algebraic expressions.

Design Implications

Context

Requirements

  • Instruction must provide opportunities for cross-representational activities and gradual introduction of algebraic notation, allowing it to take on increasing weight over time

Constraints

  • The article notes equations are included as only one element of the teaching and learning of algebra within this functional approach

Target Learners

  • young learners from approximately 6 to 12 years of age
  • elementary school students in grades 3-5

Learning Goals

  • thinking about relations among sets of numbers and measures
  • describing relations among variables
  • expressing functional relations through multiple representations

Claims

Examples

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Key Sources

  • Brizuela, B.M., Martinez, M.V., and Cayton-Hodges, G.A. (2013). The Impact of Early Algebra: Results from a Longitudinal Intervention. Journal of Research in Mathematics Education, 2(2), 209-241. https://doi.org/10.4471/redimat.2013.28
Page metadata
Field Value
type design
id early-algebra-four-component-functional-approach
title Early algebra approach built on four components: functional approach, multiple representations, letters as variables, and rich contexts
description The article's early algebra approach takes functions as the central object of algebra, expressed through multiple representations.
status review
generated by process:settle-candidates on 2026-11-02
trust unverified — no one has confirmed this page's content
sources 1 — brizuela-2013

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